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Phys. Rev. Lett. 94, 240403 (2005) [4 pages]

Fermionization in an Expanding 1D Gas of Hard-Core Bosons

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Marcos Rigol and Alejandro Muramatsu
Institut für Theoretische Physik III, Universität Stuttgart, Pfaffenwaldring 57, D-70550 Stuttgart, Germany.

Received 26 October 2004; published 22 June 2005

We show by means of an exact numerical approach that the momentum distribution of a free expanding gas of hard-core bosons on a one-dimensional lattice approaches that of noninteracting fermions, acquiring a Fermi edge. Yet there is a power-law decay of the one-particle density matrix ρx∼1/√x, as usual for hard-core bosons in the ground state, which accounts for a large occupation of the lowest natural orbitals for all expansion times. The fermionization of the momentum distribution function, which is not observed in equilibrium, is analyzed in detail.

© 2005 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.94.240403
DOI:
10.1103/PhysRevLett.94.240403
PACS:
03.75.Kk, 03.75.Lm, 05.30.Jp